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arxiv: 0711.2785 · v1 · submitted 2007-11-18 · 🌊 nlin.SI

Binary nonlinearization of the super AKNS system

classification 🌊 nlin.SI
keywords supersystemaknsbinaryhamiltoniannonlinearizationapproachestablish
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We establish the binary nonlinearization approach of the spectral problem of the super AKNS system, and then use it to obtain the super finite-dimensional integrable Hamiltonian system in supersymmetry manifold $\mathbb{R}^{4N|2N}$. The super Hamiltonian forms and integrals of motion are given explicitly.

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